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Ozawa showed that for any i.c.c., hyperbolic group, the associated groupfactor is solid. Developing a new approach that combines some methods ofPeterson, Ozawa and Popa, and Ozawa, we strengthen this result by showing thatthese factors are strongly solid. Using our methods in cooperation with acocycle superrigidity result of Ioana, we show that profinite actions oflattices in Sp(n,1), n>1, are virtually W*-superrigid.

On the structural theory of $\rm II_1$ factors of negatively curved groups